Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra

In the braided context, we rederive a popular nonsemisimple fusion algebra from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Drinfeld modules, this strongly suggests that the relevant Nichols algebra furnishes an equivalence with the triplet W-algebra in the (p, 1) logarithmic models of conformal field theory. For this, the category of Yetter-Drinfeld modules is to be regarded as an entwined category (i.e., a category with monodromy but not with braiding).